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Simplifying -6z + 14z + 13 = -27 Reorder the terms: 13 + -6z + 14z = -27 Combine like terms: -6z + 14z = 8z 13 + 8z = -27 Solving 13 + 8z = -27 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 8z = -27 + -13 Combine like terms: 13 + -13 = 0 0 + 8z = -27 + -13 8z = -27 + -13 Combine like terms: -27 + -13 = -40 8z = -40 Divide each side by '8'. z = -5 Simplifying z = -5
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